Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

practice assignment 9.1 solving trigonometric equations with identities…

Question

practice assignment 9.1 solving trigonometric equations with identities
score: 7/9 answered: 7/9
progress saved done
question 8
simplify and write the trigonometric expression in terms of sine and cosine:
\\( \tan ^ { 2 } x - \sec ^ { 2 } x = \\)
question help: worked example 1
submit question

Explanation:

Step1: Use the trigonometric identity

We know the identity \(1 + \tan^{2}x=\sec^{2}x\).

Step2: Rearrange the identity

From \(1 + \tan^{2}x=\sec^{2}x\), we can get \(\tan^{2}x-\sec^{2}x=- 1\).

Answer:

\(-1\)